TeV Higgsino Interpretation of the LZ High-Recoil Event with Intermediate-Scale Electroweak Gauginos

The high-recoil event reported by LUX–ZEPLIN motivates a TeV Higgsino with a sub-MeV neutral-state splitting. Away from cancellations, such a small gap in the MSSM points to electroweak-gaugino masses of order ${10}^7\mathrm{G}\mathrm{e}\mathrm{V}$, far above the Higgsino mass. We show that the non-universal boundary condition $M_1^G\mathrm{/}{M}_2^G=-3\mathrm{/}5$ at the $\mathrm{S}\mathrm{U}(5)$ GUT scale cancels the leading bino and wino contributions and is preserved by homogeneous one-loop evolution down to the Higgsino scale. The remaining finite-gaugino terms admit a controlled tree-level solution with a wino mass near $120\text{TeV}$ for a $350\text{keV}$ gap, a $1.091\text{TeV}$ Higgsino and $\tan \beta =10$. We identify mixed $\mathrm{S}\mathrm{U}(5)$ representations that realize the required gaugino ratio and examine the radiative sensitivity and spectrum consistency of this construction. Because the inelastic $Z$ coupling remains essentially unsuppressed, a full-density thermal Higgsino is still subject to the published solar-capture bounds under their astrophysical and transport assumptions.